3858313419081 has 45 divisors (see below), whose sum is σ = 6335574684439. Its totient is φ = 2338253913600.

The previous prime is 3858313419001. The next prime is 3858313419091. The reversal of 3858313419081 is 1809143138583.

The square root of 3858313419081 is 1964259.

It is a perfect power (a square), and thus also a powerful number.

3858313419081 is a `hidden beast` number, since 3 + 8 + 583 + 13 + 41 + 9 + 0 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31438481481 + 3826874937600 = 177309^2 + 1956240^2 .

It is not a de Polignac number, because 3858313419081 - 2¹⁵ = 3858313386313 is a prime.

It is a super-4 number, since 4×3858313419081⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3858313419001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 194451721 + ... + 194471561.

Almost surely, 2^{3858313419081} is an apocalyptic number.

3858313419081 is the 1964259-th square number.

3858313419081 is the 982130-th centered octagonal number.

It is an amenable number.

3858313419081 is a deficient number, since it is larger than the sum of its proper divisors (2477261265358).

3858313419081 is an frugal number, since it uses more digits than its factorization.

3858313419081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39716 (or 19855 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 3858313419081 in words is "three trillion, eight hundred fifty-eight billion, three hundred thirteen million, four hundred nineteen thousand, eighty-one".